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Simplifying 30 = -3(-6 + -2z) 30 = (-6 * -3 + -2z * -3) 30 = (18 + 6z) Solving 30 = 18 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 30 + -6z = 18 + 6z + -6z Combine like terms: 6z + -6z = 0 30 + -6z = 18 + 0 30 + -6z = 18 Add '-30' to each side of the equation. 30 + -30 + -6z = 18 + -30 Combine like terms: 30 + -30 = 0 0 + -6z = 18 + -30 -6z = 18 + -30 Combine like terms: 18 + -30 = -12 -6z = -12 Divide each side by '-6'. z = 2 Simplifying z = 2
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